A Finite Element Model for Static Performance Analysis of Gas Foil Bearings Based on Frictional Contacts

References

• DellaCorte, C. and Valco, M. J. (2000), “Load Capacity Estimation of Foil Air Journal Bearings for Oilfree Furbomachinery Applications,” Tribology Transactions, 43(4), pp 795–801. doi:10.1080/10402000008982410
   Web of Science ®Google Scholar
• Walowit, J. A. and Anno, J. N. (1975), Modern Developments in Lubrication Mechanics, Applied Science Publishers Ltd.: London.
   Google Scholar
• Heshmat, H., Walowit, J. A., and Pinkus, O. (1983), “Analysis of Gas-Lubricated Foil Journal Bearings,” Journal of Lubrication Technology, 105(4), pp 647–655. doi:10.1115/1.3254697
   Web of Science ®Google Scholar
• Heshmat, H., Walowit, J. A., and Pinkus, O. (1983), “Analysis of Gas Lubricated Compliant Thrust Bearings,” Journal of Tribology, 105(4), pp 638–646. doi:10.1115/1.3254696
   Web of Science ®Google Scholar
• Peng, Z. C. and Khonsari, M. M. (2004), “Hydrodynamic Analysis of Compliant Foil Bearings with Compressible Air Flow,” Journal of Tribology, 126(3), pp 542–546. doi:10.1115/1.1739242
   Web of Science ®Google Scholar
• Li, Y., Lei, G., Sun, Y., and Wang, L. (2017), “Effect of Environmental Pressure Enhanced by a Booster on the Load Capacity of the Aerodynamic Gas Bearing of a Turbo Expander,” Tribology International, 105, pp 77–84. doi:10.1016/j.triboint.2016.09.027
   Web of Science ®Google Scholar
• Guo, Z., Feng, K., Liu, T., Lyu, P., and Zhang, T. (2018), “Nonlinear Dynamic Analysis of Rigid Rotor Supported by Gas Foil Bearings: Effects of Gas Film and Foil Structure on Subsynchronous Vibrations,” Mechanical Systems and Signal Processing, 107, pp 549–566. doi:10.1016/j.ymssp.2018.02.005
   Web of Science ®Google Scholar
• Carpino, M., Medvetz, L. A., and Peng, J. P. (1994), “Effects of Membrane Stresses in the Prediction of Foil Bearing Performance,” Tribology Transactions, 37(1), pp 43–50. doi:10.1080/10402009408983264
   Web of Science ®Google Scholar
• Peng, J. P. and Carpino, M. (1994), “Coulomb Friction Damping Effects in Elastically Supported Gas Foil Bearings,” Tribology Transactions, 37(1), pp 91–98. doi:10.1080/10402009408983270
   Web of Science ®Google Scholar
• Iordanoff, I. (1999), “Analysis of an Aerodynamic Compliant Foil Thrust Bearing: Method for a Rapid Design,” Journal of Tribology, 121(4), pp 816–822.
   Web of Science ®Google Scholar
• Ku, C. P. and Heshmat, H. (1992), “Compliant Foil Bearing Structural Stiffness Analysis: Part I—Theoretical Model Including Strip and Variable Bump Foil Geometry,” Journal of Tribology, 114(2), pp 394–400. doi:10.1115/1.2920898
   Web of Science ®Google Scholar
• Le Lez, S. B., Arghir, M., and Frene, J. (2007), “A New Bump-Type Foil Bearing Structure Analytical Model,” Journal of Engineering for Gas Turbines & Power, 129(4), pp 1047–1057.
   Web of Science ®Google Scholar
• Le Lez, S., Arghir, M., and Frene, J. (2009), “A Dynamic Model for Dissipative Structures Used in Bump-Type Foil Bearings,” Tribology Transactions, 52(1), pp 36–46. doi:10.1080/10402000802065345
   Web of Science ®Google Scholar
• Petrov, E. P. and Ewins, D. J. (2004), “Generic Friction Models for Time-Domain Vibration Analysis of Bladed Disks,” Journal of Turbomachinery, 126(1), pp 184–192.
   Web of Science ®Google Scholar
• Feng, K. and Kaneko, S. (2010), “Analytical Model of Bump-Type Foil Bearings Using a Link–Spring Structure and a Finite-Element Shell Model,” Journal of Tribology, 132(2), C021706.
   Web of Science ®Google Scholar
• Feng, K., Zhao, X., Huo, C., and Zhang, Z. (2016), “Analysis of Novel Hybrid Bump-Metal Mesh Foil Bearings,” Tribology International, 103(2), pp 529–539.
   Google Scholar
• Hoffmann, R., Munz, O., Pronobis, T., Barth, E., and Liebich, R. (2018), “A Valid Method of Gas Foil Bearing Parameter Estimation: A Model Anchored on Experimental Data,” Journal of Mechanical Engineering Science, 234(24), pp 4510–4527.
   Google Scholar
• Hoffmann, R. and Liebich, R. (2017), “Experimental and Numerical Analysis of the Dynamic Behaviour of a Foil Bearing Structure Affected by Metal Shims,” Tribology International, 115, pp 378–388. doi:10.1016/j.triboint.2017.04.040
   Web of Science ®Google Scholar
• Rubio, D. and San Andres, L. (2007), “Structural Stiffness, Dry Friction Coefficient, and Equivalent Viscous Damping in a Bump-Type Foil Gas Bearing,” Journal of Engineering for Gas Turbines and Power, 129(2), pp 494–502. doi:10.1115/1.2360602
   Web of Science ®Google Scholar
• Lee, D. H., Kim, Y. C., and Kim, K. W. (2010), “The Effect of Coulomb Friction on the Static Performance of Foil Journal Bearings,” Tribology International, 43(5–6), pp 1065–1072. doi:10.1016/j.triboint.2009.12.048
   Web of Science ®Google Scholar
• Lee, D. H., Kim, Y. C., and Kim, K. W. (2009), “The Dynamic Performance Analysis of Foil Journal Bearings Considering Coulomb Friction: Rotating Unbalance Response,” Tribology Transactions, 52(2), pp 146–156. doi:10.1080/10402000802192685
   Web of Science ®Google Scholar
• Larsen, J. S., Varela, A. C., and Santos, I. F. (2014), “Numerical and Experimental Investigation of Bump Foil Mechanical Behaviour,” Tribology International, 74, pp 46–56. doi:10.1016/j.triboint.2014.02.004
   Web of Science ®Google Scholar
• von Osmanski, S., Larsen, J. S., and Santos, I. F. (2017), “A Fully Coupled Air Foil Bearing Model Considering Friction—Theory & Experiment,” Journal of Sound and Vibration, 400, pp 660–679.
   Web of Science ®Google Scholar
• Hoffmann, R. and Liebich, R. (2018), “Characterisation and Calculation of Nonlinear Vibrations in Gas Foil Bearing Systems—An Experimental and Numerical Investigation,” Journal of Sound and Vibration, 412, pp 398–409. doi:10.1016/j.jsv.2017.09.040
   Web of Science ®Google Scholar
• Arghir, M. and Benchekroun, O. (2019), “A Simplified Structural Model of Bump-Type Foil Bearings Based on Contact Mechanics Including Gaps and Friction,” Tribology International, 134, pp 129–144. doi:10.1016/j.triboint.2019.01.038
   Web of Science ®Google Scholar
• Arghir, M. and Benchekroun, O. (2019), “A New Structural Bump Foil Model with Application from Start-Up to Full Operating Conditions,” Journal of Engineering for Gas Turbines and Power, 141(10), pp 101017.
   PubMed Web of Science ®Google Scholar
• Lehn, A., Mahner, M., and Schweizer, B. (2015), “Elasto-Gasdynamic Modeling of Air Foil Thrust Bearings with a Two-Dimensional Shell Model for Top and Bump Foil,” Tribology International, 100, pp 48–59. doi:10.1016/j.triboint.2015.11.011
   Web of Science ®Google Scholar
• Lez, S. B. L., Arghir, M., and Frene, J. (2007), “Static and Dynamic Characterization of a Bump-Type Foil Bearing Structure,” Journal of Tribology, 129(1), pp 75–83. doi:10.1115/1.2390717
   Web of Science ®Google Scholar
• Liu, J. and Du, F. (2012), “Simulation of Compliant Bump Foil Journal Bearing Using Coupled Reynolds Equation and Finite Element Model Method,” Advanced Materials Research, 479–481, pp 2499–2503. doi:10.4028/www.scientific.net/AMR.479-481.2499
   Google Scholar
• Fatu, A. and Arghir, M. (2018), “Numerical Analysis of the Impact of Manufacturing Errors on the Structural Stiffness of Foil Bearings,” Journal of Engineering for Gas Turbines and Power, 140(4), pp 041506. doi:10.1115/1.4038042
   Web of Science ®Google Scholar
• Cook, D. R., Malkus, D. S., Plesha, M. E., and Witt, R. J. (2001), Concepts and Applications of Finite Element Analysis, 4th Ed., John Wiley & Sons Ltd.: Hoboken, NJ.
   Google Scholar
• San Andres, L. and Kim, T. H. (2007), “Improvements to the Analysis of Gas Foil Bearings: Integration of Top Foil 1D and 2D Structural Models,”  ASME Turbo Expo 2007: Power for Land, Sea, and Air, GT2007-27249.
   Google Scholar
• Belytschko, T., Liu, W. K., Moran, B., and Robert, J. (2000), Nonlinear Finite Elements for Continua and Structures, 2nd Ed., John Wiley & Sons Ltd.: Hoboken, NJ.
   Google Scholar
• Wriggers, P. (2006), Computational Contact Mechanics, 2nd Ed., Springer-Verlag: Berlin.
   Google Scholar
• Wang, X., Chang L., and Ceng, Z. (1990), “Effective Numerical Methods for Elasto-Plastic Contact Problems with Friction,” Acta Mechanica Sinica, 6, pp 349–356.
   Google Scholar
• Ruscitto, D., McCormick, J., and Gray, S. (1978), “Hydrodynamic Air Lubricated Compliant Surface Bearing for an Automotive Gas Turbine Engine Journal Bearing Performance,” NASA CR-135368.
   Google Scholar